Borderline gradient continuity of minima

Paolo Baroni, Tuomo Kuusi, Giuseppe Mingione*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

44 Citations (Scopus)

Abstract

The gradient of any local minimiser of functionals of the type (Formula presented.), where f has p-growth, p >  1, and (Formula presented.), is continuous provided that the optimal Lorentz space condition (Formula presented.) is satisfied and (Formula presented.) is suitably Dini continuous.

Original languageEnglish
Pages (from-to)537-575
Number of pages39
JournalJournal of Fixed Point Theory and Applications
Volume15
Issue number2
DOIs
Publication statusPublished - 2014
MoE publication typeA1 Journal article-refereed

Keywords

  • gradient continuity
  • Lorentz spaces
  • Nondifferentiable functionals

Fingerprint

Dive into the research topics of 'Borderline gradient continuity of minima'. Together they form a unique fingerprint.

Cite this